There are only two reviewers that test the shutter lag.
Neither reviewer has reviewed the Kodak Z712IS or the Z885.

However....the older Z612IS was reviewed and had a shutter lag of 0.2 second, which is very good.
I would think, the 712IS would be about the same.

About the only thing that comes close is the Fujifilm S700.
With a shutter lag of 0.25
It does not have image stabilization.

...
..
.